A074571 a(n) = 5^n + 6^n + 7^n.

3, 18, 110, 684, 4322, 27708, 179930, 1181604, 7835042, 52384428, 352707050, 2388951924, 16262210162, 111170407548, 762690752570, 5248264072644, 36206628367682, 250320112885068, 1733788251844490, 12027328411711764

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (18,-107,210).

Formula

From Mohammad K. Azarian, Dec 30 2008: (Start)

G.f.: 1/(1-5*x) + 1/(1-6*x) + 1/(1-7*x).

E.g.f.: e^(5*x) + e^(6*x) + e^(7*x). (End)

Mathematica

Table[5^n + 6^n + 7^n, {n, 0, 20}]
LinearRecurrence[{18, -107, 210}, {3, 18, 110}, 30] (* Harvey P. Dale, Apr 29 2014 *)

Prog

(Magma) [5^n + 6^n + 7^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501-A074580.

Sequence in context: A036724 A037767 A037655 * A114311 A134092 A000274

Adjacent sequences: A074568 A074569 A074570 * A074572 A074573 A074574

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved